FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS

Title & Authors
FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS
Duan, Huagui; Xu, Shaoyuan; Li, Guozhen;

Abstract
In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.
Keywords
point index;weakly inward 1-set-contraction mapping;fixed point;
Language
English
Cited by
1.
Fixed point theory for 1-set contractive and pseudocontractive mappings, Applied Mathematics and Computation, 2013, 219, 12, 6843
2.
Boundary Conditions for 1-Set Contractions Maps in Banach Spaces, Mediterranean Journal of Mathematics, 2016, 13, 4, 1997
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